Finding the Third Proportional to 37,116 and 61,626

Step by Step Solution

1. Step 1: Write the proportion equation
   37,116 : 61,626 = 61,626 : x
2. Step 2: Convert to fraction form
   37,116/61,626 = 61,626/x
3. Step 3: Cross multiply
   37,116x = 61,626 × 61,626
4. Step 4: Simplify right side
   37,116x = 3,797,763,876
5. Step 5: Solve for x
   x = 3,797,763,876/37,116
6. Step 6: Final answer
   x = 102,321.48